Answer:
A is the answer.
Step-by-step explanation:
2 is the index for this expression.
Answer:
I think the 3rd answer
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
.
Answer:
The population of the students at the University after 5 years is <u>442</u>.
Step-by-step explanation:
Given:
Current population of students is, ![P_o=400](https://tex.z-dn.net/?f=P_o%3D400)
Growth rate is, ![r=0.02](https://tex.z-dn.net/?f=r%3D0.02)
Time after which population is needed is, ![t=5\ years](https://tex.z-dn.net/?f=t%3D5%5C%20years)
Let 'P' be the population after 't' years.
Population growth is an exponential growth and the equation to determine the population after 't' years is given as:
![P=P_oe^{rt}](https://tex.z-dn.net/?f=P%3DP_oe%5E%7Brt%7D)
Now, plug in 400 for
, 0.02 for 'r', 5 for 't' and solve for 'P'. This gives,
![P=(400)e^{0.02\times 5}\\\\P=400\times e^{0.1}\\\\P=400\times 1.1052\\\\P=442](https://tex.z-dn.net/?f=P%3D%28400%29e%5E%7B0.02%5Ctimes%205%7D%5C%5C%5C%5CP%3D400%5Ctimes%20e%5E%7B0.1%7D%5C%5C%5C%5CP%3D400%5Ctimes%201.1052%5C%5C%5C%5CP%3D442)
Therefore, the population of the students at the University after 5 years is 442.